Hey! Welcome to BP.net and congrats on your new python.

Don't worry about the retained eye-cap, leave it and it will come off next shed.

Hides: I would switch it up to ensure that you have two identical hides on both the hot and cool sides of your tank. Having two identical hides allows your snake to thermoregulate properly. Identical hides prevent your snake from picking where they feel safest over where they feel most comfortable.

Water Dish: Often, a ball python will pick security over comfort and this is most likely why your python has chosen to stay under the dog bowl. I'd scrap that for a normal flat bottom water dish.

Tempertaure/Heat: Get an UTH (Under Tank Heater) to provide some belly heat, make sure it is regulated with some sort of thermostst or rheostat though. Unregulated heatsources can be very dangerous to your snake!! Your hot side should be at 90. Cool side around 80. Low 70's is way too cold and can cause health issues.

Feeding/Handling: Get your husbandry up and let your snake settle in for atleast a week with minimal handling. The move and the seemingly skcthy environment the snake came from has probably caused some stress so it is best to let him sort himself out. Feed appropriately sized prey items (a bit bigger then the thickest part of your snake or 15% its weight) on a 5 to 7 day schedule and do not handle until theyhave eaten 3 or 4 consecutive meals. After that wait you standard 24 hours to handle.

Security: Like PorcelainxDoll said, With the glass aquarium I find it helps to block or cover the sides and back to allow your snake the added sense of security.

Check out the caresheet and enjoy your new snake!