Oh, your discussion on pocketbooks/purses reminds me of my childhood trauma. When I was 13 or 14, I listened to "Panic! At The Disco" and after their "Build God, Then We'll Talk" () I decided that "purse" was a dirty word because for the line "She spilled her purse and her bag, and held a purse of a different kind" in the Russian translation there was a note, "sexual innuendo". So I decided to stay on the safe side and never to say "purse" at all, just in case :)
Anyway, here's my take on Chinese bag names. Basically, in Chinese, there's a 包(bāo)/袋(dài) dichotomy, so here goes:
1. 包包 (bāobāo)
2. 手袋 (shǒudài; 手 = hand)
3. 背包 (bèibāo; 背 = back) or 书包 (shūbāo; 书 = book) for schoolbags (they are a bit different, though; in Russian the latter would be ранец)
4. Not sure about this one, but I'd say 运动背包 (yùndòng bèibāo). Technically it means sport rucksack, but I think it's possible to use it to say "sport bag". Maybe I'm wrong (hopefully someone will be able to correct me)
5. 袋子 (dàizi) - this is the most common term, I think. I'm pretty lazy so I usually call 5-10 袋子 even though I know that sometimes it's not exactly right (shame on me!)
6. 袋子 (dàizi)
7. I think the right term is 垃圾袋 (lèsèdài) but in Walmart it's 黑色塑料袋 on price tags (hēisè sùliàodài; lit. black-coloured plastic bag), and as I said, I usually just say 袋子.
8. 塑料袋 (sùliàodài; 塑料 = plastic)
9. 纸袋 (zhǐdài; 纸 = paper)
10. 纸袋 (zhǐdài)