Both statements are False.
Statement 1. Consider a counter eg for statement 1 as
A--> Aa | €
The above grammar is left recursive but not ambiguous.
Statement 2. Consider a counter eg for statement 2 as
A-->AA | €
The above grammar is ambiguous as epsilon can be generated by 2 ways (generating 2 different parse tress) .But the grammar is neither left nor right recursive.
Hence both statements are False.