You can make two transactions spending the same output but one would get confirmed and one would be invalid since the inputs are spent. You can make as many transaction at any amount to the same address at the same time. Provided that the inputs are unspent and the transaction is valid.
Do you own the address(1BiLrgvfH41M4a3J31jACCP7C5tgUuUV5M)? If not, the double spend would be impossible to do. To give us the better understanding, it would be better to tell us which address(es) did you spend the 0.05BTC from.
yes I own the address it is one of my bitcoin core wallet addresses. I'm really not too sure how to check which address the 0.05 btc was sent from.
which OS do you use? If you're using windows, you can use this guide[1] to remove the unconfirmed transaction. If you're not, just use the terminal and use -zapwallettxes as a flag when you start bitcoin Core. After that, you can spend the BTC again.
[1]
https://bitcointalk.org/index.php?topic=1289559.msg13273042#msg13273042Thanks for the help man. Everything has worked out just fine. I guess it's no more 0 fee transactions for me.