The cold will have affected your tinnitus. But it should return to what is was, after the cold is past. Sorry you have it!
A bit of paracetamol should be fine.
If you don't already, try to ease into your sleep.
Sit in bed for an hour with a book with a low light on. Play a bit of chill out music mixed in with the ambient noise you use to partially / fully mask.
Or go for an hour walk (if you can) to make yourself tired - I know, the "last" thing you want to hear "when" you are tired but it helps me. Probably good for my legs too!
If you still can't sleep; go watch a bit of TV or read a book again until you feel even sleepier.
You can listen to music and podcasts, but, yeah, no headphones I'm afraid.
(Avoid reading negative TT stories as well at night; that will just stress you out - read a positive one instead -
https://www.tinnitustalk.com/threads/thought-id-post-after-9-months-for-new-sufferers.10784/)
The affects of ear infections take a long time to clear out. It's a bit like flooding in your basement; takes a long while to get things back to normal, fixing the furniture, getting the fish out, etc.
It may take months is all.
Someone gave me some good advice about the noise ("another" ear infection survivor - no tinnitus after 9 months):
"Don't dwell on it (easier said than done I know) and keep yourself preoccupied, otherwise the overthinking is going to drive you insane".
By all means keeping researching though; and see if you can speak to an ENT (a better one) about the pain.
I'll be speaking to mine in a few weeks, and I have the same question anyway - I'll let you know!
All the best!
Gaz