What is ilax? How do I do a semi restore?
Please, can you try to answer the questions asked with a little more detail. If not, there's no point in trying to help you.
So, did you ever get into any safemode state? If so, by which method?
If your problem is related to a tweak (that hasn't altered system files) then going into safemode will eliminate a tweak as the cause.
If the problem is still evident in safemode, than your issue is most likely related to altered system files or some connection issue. Neither of which a semi-restore or ilex rat program will fix. Those programs will NOT fix altered system files!
These programs are a last resort and IMO you haven't done your due diligence here. Those programs are good for people who want to wipe their device to sell it while keeping it on a jail breakable firmware but I surely don't recommend using them for most problems.
So, bottom line is there's much better ways to go before you attempt one of those routes.
You follow?
--------EDIT---------
Yeah, and after taking a quick look at your installed tweaks.....take a look at PaswordPilot since that messes with your apple passwords.