you should be able to find needles anywhere, well any fabric store, just regular old 15x1 size needles, even a store with a craft and sewing section will have them. you may see 130/705 on the package (just another way to say 15x1)... that's the overall size/type
then you will have to figure out what specific type, quilting, sharp, universal, jeans, stretch, ball point
then what diameter you want 70/10, 80/12, 90/14 , the bigger the number the bigger the diameter (10 is thin and 14 is big), so if your sewing something real thin and fine a smaller number is better. (this is opposite of hand sewing needles, thickness decreases as size increases so 12 is thin and 8 is big)
I like Schmetz needles, they are usually a little more money but IMO worth it.
by a quilting foot, I'm thinking you also mean a freemotion or darning foot, there are different styles available and different price ranges your machine looks like a low shank, measure from the thumbscrew down to the needle plate, it should be about 1/2 to 3/4" (instead of about 1" or more for the high shank)
I can't see your thread cutter on the presser bar (the thing that the quilting foot would fit onto) and I can't tell if it may be in the way of some of the types of quilting feet, usually it is a piece that just slides up that bar and can either be turned or wiggled down (they are easier to get off then back on usually requiring a strong hand and a pair of pliers or a screwdriver
for the maker of your machine, can you tip it back and look on the underside, molded into the metal maybe a a couple letters and numbers, possibly a JA or JC with the numbers, it may be on the lip where the machine sets down in the base, what are those? (be careful, looks like your hingepins are busted so don't let it fall all the way backwards. those are the manufactures markings and will give a hint on machine maker
the vogue stitch on the front is just a badge to make the machine have a special eye catching name.
the spiegel, chicago ILL with model number (?is it 752-?0?) is a sticky sticker so most likely added by the spiegel store when the received it from the manufacturer/distributor before they put it on their shelves.
I can't make out the bottom tag that is riveted to the back of the machine, what does it read?
the info on the foot controller is pretty common, having made in Japan on it doesn't mean the machine was made there also, because those were "just parts" that said though, most likely your machine was made in Japan.
I have looked and can not find a picture of a machine with the knob on top, is that a buttonhole function?
I see you have it threaded up, when you open the face plate is there a threading diagram? any other words? Do you know the basics of oiling and delinting the machine?
the neatest thing about your machine is the handwheel and bobbin winder is set up so if you ever wanted to convert it to treadle it would easy!!!!!
then you would have a zig-zag machine that was people powered- way cool!!!!