The first piece I'm struggling with due to the photography but could be Persian, I'm not too sure without a good look...
The other piece, well it's a Persian Mahi Tabriz - North West Iran (Azerbaijan) and looks to be inlayed with silk. Mahi is the name given to the design which covers the ground and translates to Fish in the English Language.
I take it a 'Thrift Store' is a 'Chariy/Second Hand Shop' in the US?
Kind Regards,
Stephen Saunders
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*All comments, opinions and views are my own unless stated or linked within my posts. All details provided via photographic evidence can only be used as a guide, unless the piece is in front of me for a full appraisal.