Do I need to spend from the wallet i recently sent to, or am I to spend from the original wallet that has two unconfirmed transactions sent?
Spend the coins from your new wallet. Do NOT double-spend them again.
The new wallet have not recieved bitcoins yet, and therefore can not spend any bitcoins or am I wrong?
What do you mean they did not appear? Do you ask if you can spend unconfirmed outputs. Then the answer is yes.
If your coins however did not appear please sing one of these transactions (only one is required)
0100000001e18a058e1066f96e98076f20489fe528f94712518213956b02459900d9e36ef9000000001976a914dea549d200f83ef902acb7a1b58a244e2fb811b788acffffffff0170fc8837000000001976a914dea549d200f83ef902acb7a1b58a244e2fb811b788ac00000000
With private key of 1MJF22LL41V1BNdvzucU4z41T5pEoZ5Xio
OR
0100000001e18a058e1066f96e98076f20489fe528f94712518213956b02459900d9e36ef9010000001976a91425cba07833fe0656a9c458a1c7adc835dfe027db88acffffffff01790d6732000000001976a91425cba07833fe0656a9c458a1c7adc835dfe027db88ac00000000
With a private key of 14SqwLchTWUwjK35Vs8cWU9jzZQa1KLMou
They both send coins to the same wallet with a fee of 0.001BTC.