I was merely asking if this was normal or abnormal for a dive trip.
I felt by informing everyone that this was my first dive I was clearly indicating that I would need help, which is why the divemaster stayed with me.
Hi Ben, and welcome...
You've now been introduced to Walter. He can be blunt at times, but he is correct. He's an excellent instructor and an excellent dive buddy (sometimes the written word doesn't translate as well without body language and inflection from being in front of the other person)...
OK...
First - Congratulations on your new life as a diver!
Second - To answer the title of your question,
"Is 'group' diving common?" the answer is yes for the situation you were diving. It is very common in the Caribbean and especially on "tourist" dives (Dives where you get off a cruise ship or are part of some other type of "fly-in-fly-out" type of group or walk-in individual). These types of dives are very common for Caribbean dive shops. They will take you to the easiest dive sites and a DM will keep an eye on you... ALL of you on the dive.
Third -
A few days ago I did my 1st post certification dives of Laughing Bird Caye in Belize. When I signed up to dive the dive shop never asked to see my certification card, which made me kind of nervous.
Asking for certification proof is for the shop's benefit, not yours. It can indicate additional issues, but does not always mean they neglect other safety criteria. Laws are different for different countries when it comes to diving. Don Francisco is from Belize and his post gives you an excellent idea of how "laid back" many dive operations are (not just in Belize, but throughout the Carribean... Thanks for your post Don)
I asked the dive shop for an "easy" location as this would be my first real dive and the first time in open ocean. I then informed the "2 divemasters and the 5 divers" this was my first time, and explained my experience.
Excellent ratio of DMs to divers... Count yourself as very lucky to have that ratio. It was probably twice the ratio (instructor-to-student) you had for your dive class
Fourth -
When we got to the dive site the lead divemaster gave us a briefing of depth etc.
Fantastic! They are doing their job by informing you of the conditions. It is now up to you to speak up if this is out of your comfort level...
We did a backwards flip entry off the side of the boat (which I had never done) and proceeded to go down as a group.
Since this was outside your skill set (or perhaps you watched the others and decided it was not that difficult...), this is the opportune moment to have a DM teach you this basic (but, yet unlearned...) diver entry... speak up!
Fifth -
We were never assigned buddies and I was there solo.
If this was an issue for you, you REALLY need to speak up prior to entry! Someone else here mentioned that many divers travel with their buddies. That is very true. We have a group going to Saba in a week, and almost every person on the trip is traveling with their buddy (Yes, it takes time to find the "right" dive buddy that will travel with you.... probably explains why I became a solo diver so soon... lol)
One divemaster did stay with me and watched over me which I was glad to have. We basically travelled in a large group.
I am only reading into this... You say a DM stayed with you... and then you say you traveled as a large group... (large group is very common). Did the DM watching over you point out some/anything you might have not seen if he didn't point it out to you? If that is the case... You were definitely diving with a "buddy"!
If that is the case, you were diving with a qualified buddy, and didn't know it...
Sixth -
... Also, I didn't have anyone sign my log book since no one seemed to have one with them.
Much like the flying industry... after you have learned and received the required paper, it is no longer required that anyone sign your log book. Your log book is yours. It is for your private history, and not "required" for continued diving (unlike the pilot where the log is required to show specifics for re-cert, etc...). Your dive log is your badge of honor. Some/Many shops will have their logo on a stamp and will offer you that stamp. Eventually, that will wear off you, and your log will take on its own meaning for you. Some have given up their log books, and others adapt them to their diving needs...
Many of the divers who continue logging dives do so in many different ways...
Walter, for instance, uses a composition notebook and has details I will never recall for dives we've been on together. I, on the other hand, use a standard dive 3-ring and have designed my own pages with NitrOx %'s, etc... and small enough comment sections to have 4 dives per page (front and back)... My girlfriend has different design for the same standard dive 3-ring...
No one has signed my log since I was originally certified (notice, no one addressed that issue from your original post... they felt you would figure it out on your own).
I will only add this one comment... You will encounter a number of divers during your life that will tell you that they stopped keeping a log (and they have 10000's of dives...). For those people, my personal opinion is that if they didn't log them, they can't really come up with the numbers... (I did 200 dives one year, and it felt like I did more than 500. If I hadn't kept a log, I would claim I've done 1000's of dives too...)
Again, welcome to your new life as a diver! And, welcome to the board...!
(OK, I just took the time to answer your question with all the same answers Walter did... He was just more to-the-point than I was... It took me 45 minutes to answer this way...)