G looks to be a safe bet. As for slabbing, no. The cash value just isn't there to warrant the expense, but since it was a gift from your father, its true value (to you) is unlimited, so just enjoy for what it is.
[TABLE="width: 100%, align: center"] [TD="bgcolor: #dcd4c5, align: left"]1819[/TD] [TD="bgcolor: dcd4c5, align: right"]$84[/TD] [TD="bgcolor: dcd4c5, align: right"]$250[/TD] [TD="bgcolor: dcd4c5, align: right"]$987[/TD] [TD="bgcolor: dcd4c5, align: right"]$2,832[/TD] [/TABLE] This is the price range of a 1819 coin. A good quality starts with $84. A fine one goes till $250, a extremely fine one goes till $987 and a top class un circulated one goes till around $2832 so can be worth a lot depending on its quality.
Yours could be worth $80-$100, but even then, what would be the purpose of putting it in a slab? If it is what you want, then I support the idea. Slabbed, a coin shop would pay you $40-$50. If it is for profit, there might be some to be made. Or, this is a cool coin to have in your collection that you can personally handle and wonder if it was part of a bank heist or if someone purchased a haircut and a shave or who knows? Slab or not to slab? It is a personal choice. I have both. My most valuable coins are not slabbed.