Does my panel have enough amperage and space for adding two outlets for a stove and refrigerator in my basement? Thanks for your help in advance!
Not without some rearranging, unless your stove is only 110V (which is more like a hotplate or electric grill, or a gas stove). If that is the case you can put a 2 new breakers on the bottom row to supply 2 new 120V circuits.
In order to have a 220V electric range/oven you need a 240V breaker that spans both phases. A 240V breaker is double height, so you need to remove a breaker from the bottom left or bottom right to make space. One way is remove the 2 on the bottom left, and combine them into a single tandem breaker (2 circuits that take up one space, such as you have in the bottom right). That would leave you room (2 slots) for a 240V on the left, and you'd have a remaining slot on the right for the new 120V circuit.
Edit: 200 amp service is more than enough for almost any house. You can put circuit breakers that add up to more than 200 it’s not a problem. If you ever used more than 200 amps in total your main breaker would flip and at that point you’d know your limits and live with it, or decide to upgrade the service. Realistically that probably won’t be an issue unless your oven was on cleaning cycle, with an AC running or a couple space heaters going, clothes dryer, curling iron, hot water heater, and someone welding while blow drying their hair!
The diagram shows a 30-space panel, and the picture shows 26 spaces in use.
So yes, you can fit a 1-space 120V breaker for a fridge, as well as whatever your range requires: 1-space 120V for a gas range or 2-space 240V breaker for an electric.
This will almost wipe out your panel's spaces, which is not a good place to be. You see one "double-stuff" breaker where two 120V circuits are crammed into one "space". Your panel can do that in the bottom 4 rows) but most newer circuits require AFCI or GFCI, and those can't exist in double-stuff.
Keep in mind if you are installing anything like a kitchenette where food prep might happen, then kitchen rules apply, and there's quite a large requirement for circuits, including two dedicated countertop circuits. If your range is gas, you're in luck: it can tap a countertop circuit. (only ranges and clocks can do so). If it's electric, it will bogart 2 spaces just for it, leaving you pinched for the remaining mandatory circuits - you may be forced to deploy double-stuff breakers or a subpanel.