ALL of them.
I realize I am a brand new diver. And I'm no mathematical genius. Maybe I am oversimplifying this. But if I plan to go in the water to 50 feet for 50 minutes, that will put me in Group G. If I dive anything LESS than 50 feet for part of those 50 minutes, I'm still Group G or better. Right? I'll just go with Group G to be safe. Am I misunderstanding how the dive tables work?
Yes, G or better.
I think the general point here is at that sort of depth, you'll run out of air before you'll run out of time. You've got 56mins at 18m, you'll be cold and bored by 45mins. But as John points out, if you go deeper to start your dive, you max out really quickly, especially the second dive.
The SS Yogala is in about 27m of water, give or take, laying on its side. The first dive you can get down to the sand, look at the mast laying in the sand, see the lower deck areas, then as you get to the end of the hull you come up shallower as you turn around. Then along the back side of the wreck you might be at 18-20m. On the second dive your NDL is running tight, so you stay well clear of the sand and sit much shallower along the deck and look at the fish life and sea snakes, but the end of that second dive you're well above the wreck, diving in the shoals of Maori Wrasse and Golden Travelly and hopefully some Manta Rays. You absolutely fly the computer, the second dive you watch the NDL clock as as the countdown gets small, you come up a few metres until you get some time back. You cannot level an airstrip with a bulldozer and you cannot do this type of diving on tables. Its not a sign of stupidity to dive the computer, you just need to be clear on what to do if you lose it.
A back up depth gauge is of zero value to me for this sort of diving, I would not buy one for me. They work, they're reliable, but I don't know anyone that does diving where it would add any value. If you computer fails on the first multi-level dive, you're out of the water based on tables. To use tables you would've needed to plan a multi-level dive, and dive that plan, to then safely know what you could do on a second dive. Consider the diving you are going to do, get equipment to support that.
I must say of I'm bored with the adage that common sense was common 'back in the day'. People were different, skills were different, life was different. My kids would struggle to make sense of a rotary dial phone, my mother-in-law can't set the temperature on her fridge. Learning is primarily driven by desire, exposure, opportunity and aptitude; it has much less to do with intelligence or the era you live in. We have progression charts of dive courses developed to address the failings of prior accidents, we have national archives full or workplace incidents and books shelves full of OH&S legislation based on retrospective review of fatalities caused by laziness and stupidity. Just make the best decision you can and review that decision continuously, never be afraid to call a dive or sell gear that isn't working for you.