Sounds like your method of doing the lightning transaction might be charged a service fee on top of the transaction fee.  But the cost will always depend on the number of routing hops the transaction needs to take.  My lightning node charges a 1 sat fee, but each node operator is free to set their fee as desired.  The routing logic always takes the cheapest route to complete the transaction. 

 The transacrion was sent from Wallet of satoshi but was sent to my own lightning node. I am just not sure if this level of fees is normal for lightning or if it is high. 
I am also wondering if it is due to the default LSP that I was connected to and if I would be better off opening my own channels.