This sort of deck is indeed vulnerable to Parasite - even a Kate deck with one in is a problem.
An issue with NEXT is also that you tend to not have enough money early to rez all the ICE you're putting down and the poor influence makes it a weak identity.
Having played Foundry last Store Champs season, I'd definitely recommend that. Advantages:
Full 15 influence - have all the Lancelots and Jacksons, why scrimp?
ABT protection - you only need to see one ICE off the ABT and you can immediately reshuffle in other cards if they're not things you want to go in Archives (no need to be scared of firing without Jackson on the table)
You can draw up NEXT or Grail ICE as you rez on, so you can guarantee synergy.
I'd also recommend moving to a more asset-based economic package, removing GLC (fine if you're using Foundy), and two Melange for 2x Breaker Bay Grid and 3x Eve.
People tend to find 2x Food a good balance - three of them are you're possibly suffering from fat agendas and not getting them when you want to score them. If you're sticking to your NEXT plan then you want more than 1x Lancelot to be honest (and preferable moar Jackson).