Okay so the weakness of your deck is.
1.) Early pressure with Econ denial, so Account Siphon, Vamp. 2.) Inside Job is really good against your deck because you can't afford to rez multiple ice in a server. 3.) Derezzing your ice is very, bad.
So let's alter a couple things.
Let's add a bunch more ice that can be rezzed early. Let's focus on increasing you economy. And let's make it easier for you to get Eliza's out and have it stay out.
This deck list is rough so you can add back many of the cards you wanted cause I left a bunch of influence free.
Agenda (9)
Asset (15)
Operation (7)
Barrier (7)
Code Gate (6)
Sentry (5)
Built with http://netrunner.meteor.com/
Now first let's talk about Agendas, Accelerated Beta is a no brainer, if it hit even one ice it's a huge econ advantage. Priority Requisition is also a huge econ boost. Efficency Committee is for Eliza's. You can use it to Install a Big Ice, Install Eliza, and use Eliza's all on the same turn to protect it. If the player know what he is doing Eliza's toolbox should be trashed ASAP so this let's you use it even if their on guard.
I've switched to brain damage over program trashing this is for a couple reasons. The first is I added more Bioroids so you can use Bioroid Efficiency Research to also rez your big ice. Runners can click through Bioroids but take brain damage. By adding in Cerebal Overwriters you can tax the runner's hand size and maybe squeeze of a win. This is also why I added Fenris for some early game surprise brain damage.
The rest is lot's and lots of econ to fuel everything. Feel free to use Eliza's to rez Eve Campaign if you need econ. But remember with Bioroids people can take brain damage to get in if they have to so you can't advance an Agenda just behind one.