Will Nikon Nikkor AF-S 55-200mm f/4-5.6 G Lens fit my Nikon D5200?

Will Nikon Nikkor AF-S 55-200mm f/4-5.6 G Lens fit my Nikon D5200? I have a 18-135 and works amazingly but i also have an old 80's/90's 70-300mm but it doesn't auto focus… It does auto focus on my D80. Will this 55-200 be compatible with my D5200 and can my old nikkor 75-300 work with my d5200?

Note the designations AF-S and AF.

All AF-S lenses work with all Nikon DSLR cameras, including the D5200.

AF lenses, like your 70-300, use a mechanical linkage to the camera body to focus. The D80 has a focus motor, so this lens will auto focus. However, it won't auto focus on your D5200 since this body doesn't have a focus motor in the body. You can use the 70-300 on your D5200, but you'll need to manually focus the lens.

All your questions can be answered on webmaggu.com

Yes, it will work fine, but you would be better off getting the VR version of the 55-200 zoom. The VR gives you Vibration Reduction, which is well worth having on a telephoto zoom, and the price difference is not usually very much.

Any Nikon AF or AF-S lens - zoom or prime - will be compatible with your D5200 EXCEPT the AF lenses will NOT auto focus on your D5200 because it lacks a focusing motor.

Yes, it will work fine, but you would be better off getting the VR version of the 55-200 zoom.

Yes but I wouldn't bother with it since you already have a lens that goes up to 135mm. I have an 18-105mm, and I rarely even bother with my 70-300mm.