Everything BUT my phone has worked on both networks I've tried... even the hotel wifi. No, though, I still haven't restarted the expensive router. To be honest, I'd forgotten about it in the chaos of life.
However, we did have a miracle of miracles when we hooked up another router in the house along with the expensive Netgear router (not LinkSys, sorry for my mistake in my last post). My phone still refuses to connect to the expensive router's network, even though it has in the past before this issue... but automatically reconnected to the other router without my knowledge when my boyfriend hooked it up for me the other day and forgot to tell me about it.
Both routers are running on the same base connection in the house, and I believe the second router is a Netgear also, just an older and cheaper model. I'm not sure if the difference in connectivity is due to the model/speed/channel of the router, or if it's something else entirely, but at least my phone will connect now.
If I can supply any more information that may be of help let me know. I'll do my best to get it to you. I may, however, require instructions on how to FIND said information, but I will try lol
*edit: Also, I remembered my phone model number wrong. Apologies >.<; I have a Lumia 635 running 8.1 Lumia Cyan (I just confirmed via model number lookup and phone settings).