It can be done of course, but why risk it... One thing to remember is that the 2010 vid series workout is just an example, if you need another warm-up, then do one as long as it doesn't affect your work set negatively.
If you need 2 minutes here and there, take 2... You probably won't stick to 1 as you get stronger anyway... More of a guideline I think (consider that most people doing this do so with a training partner... 1 minute rest periods are pretty much your partner doing his set, relaxing for a few sec, then you doing yours, etc).
Depends... If your low back is tight from deadlifts on back day, you might want to consider changing something... But in general, you should be fine imo.
I personally don't like some things about the example split in the 2010 vids (bis with chest, tris with delts, back the day after bis...), but ultimately everyone has their own preferences and you'll develop yours as you go... So make modifications where needed.
No power rack available?
You don't really need to squat in order to progress, but it's helpful especially if you ever want to do a powerlifting meet... You could just work up to a non-failure top set or two of squats or front squats every leg session, then do your leg press and/or hack machine and see how that goes. Just keep an eye on your lower back arch and recovery.
Sorry I'm not being overly specific with what you should do, but it really comes down to you developing your own habits and preferences there.