Is there an inside and an outside to this type of lense? They seem to cereal bowl both ways.
Every soft contact lens has a "right" way and and an "inverted" way, although some may look about the same regardless of whether they're flipped, and they might not feel any differently, however, they will not fit properly if they're inside out, and because the edges will be slightly curled upwards, the fit will tend to be looser and there will be more interaction with the eyelids, especially the upper lid.
You need to practice determining which way is the correct way and which is the inverted position. Do this by placing the lens on your finger, but keep that finger as dry as possible so only a bit of the "bowl" of the lens is in contact with the finger, so it's not too flat. Examine the edge of the lens closely as you sort of turn your finger, allowing you to see around the edge. Flip the lens the other way, and repeat.
It should soon be obvious to you which way is more of a bowl and which way has an outward curved edge, more like a saucer; the latter is inverted. Another way is to place the bowl of the lens in the crease formed in your palm when you go from an open to closed fist, the lens should close like a clam if it's correct, it may flip backwards or just not close properly if it's flipped.
Practice with those two techniques, and if you still can't tell by look or feel, then I guess you can just sort of roll with it and see how it goes. I've had patients tell me that they never bother checking, and they wear the lenses however they go into the eyes and they never seem to have a problem.
Is it resonable for the doctor to be off a little with one eye (initial) script?
Some doctors are more accurate with refractions than others, some doctors don't communicate well with their patients and mistakes are made, some patients either misunderstand, get confused, guess at "which is better, one or two", or just can't tell the difference between "lens flips". Sometimes the eye doctor won't prescribe the full Rx because it's a significant change from the first one, sometimes lenses are made out of tolerance...lots of reasons why it might not be right the first time, so yes it's reasonable to be "off a little bit with the initial script".
How the doctor responds when you return with complaints of blurred vision tells you a lot about him or her. If they try to blow it off and tell you "everything's fine" when you know it isn't, and without a clear explanation as to why you "think" there's a problem when they are certain there isn't a problem, well then there's a problem, and it's not with the glasses.
When prescribing contact lenses there's a lot more variability and more of a chance that an Rx may need to be changed or fine tuned, which is why I require a 1 week followup before ordering a supply of contact lenses for the patient.