1. Model Wax
Not completely necessary, but useful to give that showroom shine. I haven't considered it a necessity. Yet. Then again, I build for pleasure, not for show. If I was going to enter a car in a model show, I would get some.
2. Super Glue Accelerator ( I know what it is, do I really need to make it bond even faster? I have enough trouble keeping my fingers un-glued.)
Believe it or not, even Super Glue doesn't bond fast enough sometimes! Not strictly necessary, but you'll get some eventually. I would wait until you have a need (but then I have a decent LHS not ten minutes away!).
3. Polishing kit, Where can I get one?
IMHO I don't think these are necessary. Online store should carry them.
4. Liquid Masking
I'm sure there is a reason people want liquid masks. I haven't found one that works like I think it should. I would rather use tape.
5. Two-Part epoxies (I never knew what this was, I thought it was like a filler maybe? Can someone explain how it works?)
These can be used for fillers, and extremely strong bonds. I haven't required the need for this item either. They work through chemical reaction which is why they come in two parts. Once mixed, you have to use it or lose it.
6. Weathering Set, Where can I get one
There are many different weathering sets. Online stores will carry them. Tamiya makes different kits that look like women's makeup kits, right down to the little brush. MIG pigments are probably the best, and best known. I bought a couple of the Tamiya kits. Ground up chalk pastels are pretty much all they are.
7. Super Glue Debonder (Do I really need it?)
Only when you need to debond super glue. Again, I haven't found the need. I know that CA glues get very brittle in cold, and popping whatever needs to be debonded into the freezer may work better than the debonder, which will attack paint and decals.
8. Sprue cutters (Necessary or not? , I am fine using a sharp #11 blade)
I thought these were affectations of the "elite" modeler, until I bought some. Easier to use than the #11 blade, they can snip off parts very cleanly, and often without the piece requiring any cleanup. I love mine!
I'm sure others will chime in soon with their answers. Somebody more knowledgable will explain two part epoxies better than I have, and may even provide decent reasons to require wax, polishing kits and super glue debonder.