The machines aren't as important as the operator but a more modern machine will make for a more comfortable experience. I use an Apilus myself and I'm pretty confident in saying it's probably the best machine out there...
Hairs per minute isn't as important as kill rate but that's a hard one to get a solid answer on. If an electrologist insists that hairs are killed over time with each hair requiring more than one hit over several appointments consider finding someone else who has more faith in their work. Hairs can be killed first time, not all but certainly some, reasonably most. If you weren't so impatient it would be time well spent to get a definite test area done and leave it for at least a couple of months to see what comes back. It mightn't be the best indicator in your case though because you have recently had laser. In this case it might well be that only a % of the hairs that you still have may be visible. Any electrologist will only be able to treat the hairs she/he can see and any follicles that have been laying dormant but then fire up again will make it appear like re-growth from electrolysis...
A reasonable price is open to debate and interpretation. Pity you're not in the UK I happen to know someone who is very reasonably priced

"What makes a good tech" Someone who is passionate about what they do. Someone who does not pluck. Someone who has taken the time to truly understand what it is that they need to do to kill a follicle. Experience is good but be careful with this one because there are a lot of techs out there who have been getting it wrong for many years and will continue to do so because they are dinosaurs.
personally I wouldn't say it would be a good idea to mix laser with electro. If the laser has had an impact you may be lucky enough to only have a few remaining hairs. Your electrologist will be able to treat these if she/he can see them. There's a fair chance that if they have returned after 7 laser sessions they will continue returning after some more. . .
Being finished by summer is very unlikely. You could expect a fair amount of the darker hairs to be gone but because of the laser treatments it might be a few months or more before some of your original hairs will even be seen again.... You will probably find once you stop shaving for good that you will start to see finer hairs rearing their heads. These hairs have always been there but they are rarely noticed because they grow slower and end up lost amongst the darker growth. Once you stop shaving they have more time to grow and make themselves known. This is a difficult time because once you stop shaving it feels like you're finished but there is still a way to go to get these finer hairs and be completely SMOOTH

Difficult if not impossible to plan accurately for hair removal cos everyone's different.
I think it's reasonable to ask for a discount IF you're doing block bookings ie a few hours at a time or more. If your electrologist isn't having to do shorter appointments with different clients in spite of charging you less money it should still work out better for her/him. No changing of probes, tweezers. couch cover, gloves etc and no time wasted between appointments
If your budget is limited it would make sense to hit the darker hairs first, then the less dark ones, the smaller ones etc etc until all your left with is vellus hair that most women have in some measure. If you are insisting on going back for more laser then leave the thicker darker ones because these are the hairs that laser has the best chance with. Personally I'd forget about laser if you're going to do electro but I am biased.
To minimise eventual scarring take you time finding someone capable. Speak to others who are finished and look at their results. Only use minimal intervention when it comes to aftercare. Don't use any products not recommended by your electrologist. Absolutely do not pick the area, don't shave it either until you can do it without disturbing the healing process. Don't disturb any scabs that might form. If you should get ingrowns, which ideally you shouldn't because any treated follicles should have been killed, don't dig around trying to get the hairs out. Don't pluck because your electrologist won't be able to treat any hairs she/he can't see. plucking on it's own can sometimes cause scarring...
Hairs shouldn't feel like they are being plucked. It's reasonable to say if you can feel plucking these hairs will return. You may feel a little tugging but this should only be your electrologist testing a hair that hasn't been treated enough yet. In this case it should be re-treated to make sure the hair doesn't come back.
Hope that helps
I really do need to get out more