Having just had to reinforce my coop because of Racoons - I would say you need to go over the front and side screened sections with wire cloth...... what you have but with much smaller squares.
AND As it sits - anything could dig under it - some options for this..
1) take some wire cloth and slide under the coop - leaving several inches on the outside as to deter digging.
2) dig a trench several inches deep all the way around the structure and slide the wire cloth straight down in the trench
3) make a "skirt" of wire cloth all the way around the coop.
Love the look of it - Congratulations on building such a great coop! Your Chickens will be very happy!