i want to do shopping in Guangzhou in March 2016, what visa type do I need? Am I RIGHT to say L?

Mathabo, generally speaking, you don’t need a sponsor. If you want to find one, I think the tourist company is a better choice.
A tourist L type to mainland PRC is okay for your situation.
You don’t need any entry permit to HK because Lesotho passport holders can enjoy free entry to HK for a stay of no more than 14 days.

Thanks very much,this is appreciated.