60-200 USD or so
$500
10-1000 USD or more depending on specifics
About $600-$650, with box and papers.
Unsure if you are using Alpine as the name of the ammo or of the firearm. In early 1960s, firm maufactured M1 Carbines in California under the Alpine name. These used standard M1 Carbine ammo (aka 30 Carbine). Am not familiar with ammo maker by that name.
Depends on condition and originality. Going rate for a good condition M1 Carbine is about $700-$800.
Yes there is 30-30 cal, 20" barrel. I have one.
Value will depend on condition and originality. Typically, military M1 Carbines are selling for $500-$800.
Value of any firearm is based on EXACT make and model, condition, and originality. An ORIGINAL M1A1 carbine in excellent condition may be worth $1000, but there are civilian versions of the military carbine, and aftermarket "paratrooper" stocks that may be worth $200.
your question is not specific enough, .30 cal carbine can be anything, as for 1944 can also mean a very wide range of firearms. for the two I know of: M1 Carbine, .30 carbine caliber, semiautomatic carbine Inland - around $800 Mosin Nagant M44 carbine, manuf 1944 in very good condition (like if you bought "new" from a store) around $90. there are hundreds of ".30 cal carbine" that are also manufactured in "1944".
Ball, blank, tracer are a few.
Try oldguns.net