I don't use this format for food. But it says goal 4200-4700 calories is that correct?? But on your avatar it says Lose Fat for your goal. At your weight with light work outs your TDEE will be around 3200 calories. If you drop that down to 2700 calories that will be a pound a week. Add some walking for 45 min 5-7 days that is another 1/2 pound. You can lose 1-2 pounds a week at that amount.
Now about adding more calories. I didn't see any protein shakes! Maybe I missed it but times when Im bulking and Im 500-1000 calories short I make a shake with some greek yogut, strawberrys, oatmeal, with milk or almond milk and some strawberry proetin. You can add alot of healthy foods and calories in a short time. Or use milk, chocalote protein, I add table spoon of chocalate syrup, oat meal, bananas and peanut butter.
But yes you don't want to be to low, start at 200-500 below maintaince. Once you slow down add more work outs, or some light carido. Once you slow down then maybe drop another 200 calories. With your weight just in brace the idea it will take well over a year or more to come down at a healthy level. Once the food cravings come in go get some pizza and wings, a burger and fries but keep it below your maintainces calories at 2700. The goal is to not hit a wall and keep you on the path of losing weigth and gaining muslce. I hope this helps.