I would use some weslys bleach white on that front tire, should fix it right up.....Joking aside that bike has awesome patina I would just get the mechanicals right and roll it as is.
Try to find a size marking on what's left of that rear tire. I don't think those are even Schwinn rims, but if they are, they may need S-7 tires (1 3/4", not interchangeable with standard decimal sizes).