Welcome to CT!! They are all Lg Date 1982 D LMC. We are all still learning. I have found this site helpful for Lincoln Cents. It covers many different varieties and error including the 1982 Large and small dates. Check it out http://lincolncentresource.com/index.html
Rather than ask if you have a small date, assume you have a Large Date. Then look for the indicators of a Small Date. If the lower part of the "2" isn't bowed out, then it ISN'T BOWED OUT, and no matter how long you look at it, it's not. With "small date" versus "large date" You're probably rushing yourself not looking at the curve going into the base of the 2. Take your time. You also probably want to see something on your cents that is NOT there. and keep in mind there are all these varieties. 1952 – 1982 is 95% Copper and 5% Tin & Zinc; 3.11 grams 1982 – Current is 97.5% Zinc and 2.5% Copper; 2.5 grams The 7 Business Strike Varieties (8 total with the 1 rare one): LARGE DATE Philadelphia 1982 Large Date Copper 1982 Large Date Copper plated Zinc SMALL DATE Philadelphia 1982 Small Date Copper 1982 Small Date Copper plated Zinc LARGE DATE "D" 1982 D Large Date Copper 1982 D Large Date Copper plated Zinc SMALL DATE "D" 1982 D Small Date Copper plated Zinc 1982-D small date copper (1 known to exist). This is the one all the fake youtube videos are made for thinking you can find one making it seem they are readily available and easily found. There is also a 1982-S Large Date which is not included because it is a PROOF.
Large, large, large. Once you have seen the delicate 2 in the small date close up, it's not even ambiguous as some of the other small dates can be. And BTW, 1982-D large or small are both worth 1 cent. I hope the clown who posted the You Tube video about the 1982-D small date copper is getting rich, because no one else is.