
As already mentioned by Trapinch above me, this one is made by HyperGammaSpaces, but to be more specific, I think this one might be Barth from Sacred Echoes judging by clothing and color scheme, but I could be wrong
In terms of F2 status, I think it was mentioned in @/JeyTheCount’s F.R.O.G. doc that all Sacred Echoes mugs would be F2U when it is completed, which now that that’s the case, you should be able to, but I would also ask Gamma directly just in case 

Moving over to the top middle, I don’t recognize that one, so I’ll move on to the top right, which again, as mentioned by Trapinch above me, is from Nickt, though if that’s the case, it must be a modification. In that case, the base itself was made by CapibaraInSpace, specifically #5 in their collection in the Repo
In terms of F2 status, it technically is F2U, although only the original is to my knowledge, so be aware of that 

The bottom left is easy; this one’s from Levin64, specifically as a contribution to E.D.G.E. (Myrraeno’s name)
In terms of F2 status, all EDGE mugs are F2E by default, so you’re in the clear here, but I would recommend that if you use this for a project, stick to the original cause that one has an actual minimug 

And finally, in terms of stuff I either recognize or can look up easily, the bottom middle is also a quick one; this one is by Goldblitzx, and it’s very much not F2U or F2E cause they’re using him in their hack Searching for Light, so that’s one you can toss out
If you’re curious, his name’s Genesio :333 At least I think it is, could be wrong 
Hopefully, this has helped you on your quest, and I also hope that you can find the culprits for the other two mugs and the background CG
Good luck, friend 