The drill size can be a common error and easily fixed. Look in your DRC - you will see preset sizes based on either an Eagle preset or if you have loaded a board house's requirements, then their presets. Look at the "size" tab under DRC, the icon is right below the autorouter on the tool tab.
The silkscreen over pad error is quite common too - per
Jeremy Blum, some board houses will scrub that off any overlapping area. I assume they do this on the gerber file prior to producing the board. This is something you may want to contact the board house about to verify prior to sending your file off.
Here is a link to a post on that same question.
Notice, I had over 345 stopmask error! I was not going to fix them nor recreate the dozens of components!!
Pic #2 - your via is overlapping the pin's solder field - move the via.
HTH