I think the deck can still be fun, but use a more contemporary shell and include the ogre slumlord and pack-rat pieces.
I would suggest to B/W human tokens, and include the pack rat and ogre slumlord to help out for fun and flavor. You really want a sac outlet to help the slumlord generate tokens. Cards like xathrid necromancer, doomed traveler, cartel aristocrats, blood artist, maybe even some champion of the parish.
I like the unburial rites as a 2 of. You could potentially get value off it in the deck. I think immortal servitude while it looks good on the surface isn't the card you need for this deck to make it go. I think lingering souls can go too, there's a lot of graveyard hate and you're focusing too much on getting value out of the yard. Also, it won't fuel ogre slumlord or xathrid necromancer if you choose to include it.
Root born defenses can help you when packrat comes online, but really the strength of packrat is that you can create another. Liliana and underworld connections synergy well with this plan, you can fetch swamps to discard and draw some more.
Let me suggest this build and see what you think.
4 Blood Artist
4 Cartel Aristocrat
4 Champion of the Parish
4 Doomed Traveler
3 Ogre Slumlord
3 Pack Rat
4 Xathrid Necromancer
1 Doom Blade
1 Murder
2 Orzhov Charm
2 Underworld Connections
2 Liliana of the Dark Realms
2 Unburial Rites
1 Cavern of Souls
4 Godless Shrine
4 Isolated Chapel
1 Orzhov Guild Gate
2 Vault of the Archangel
6 Plains
6 Swamp
Sideboard:
4 Sin Collector
4 Intangible Virtue
2 Obzedat, Ghost Council
2 Blood Baron of Vizkopa
2 Sorin, Lord of Innistrad
1 Murder
1 Doomblade
This gives you a "proven" human/token aggro shell, with your own brand of flavor for the deck. It gives you some of the maindeck removal options you wanted and a larger more synergized creature base. A splash of draw and filter with liliana/UC and just enough recursion with unburial to keep your threats alive after a board wipe or removal. You'll find the lifegain/loss provided by blood artist to be very relevant to the deck and the sideboard of obzedat/bloodbaron/sin collector help a lot with control. Sorin and intangible virtue would come in against opposing agro decks to make your guys bigger than theirs.