After Effects Project - logo pixelated when rendering out smaller file size

Hello,

I'm having a issue when rendering. I have a simple animation that I did in After Effects as an Intro to a video we are doing for a client. We edit in 4k and render out 1080p, so I put the AE Comp at 4k. When I go to render the Premiere Project, the AE Project loses quality almost like the logo goes to half quality. The only way I can get it to render the way it's supposed to is if I render at 4k and downsize it in Media Encoder. I have tried rendering in Media Encoder as well and that has the same issue. It wasn't giving an issue on Version 4 but for some reason Version 5 is the problem. Does anyone have a fix to this problem?