Loki on the program Kage is looking for based on a rating 6 program this is what you are looking at:
Hacking program rating 6 availability 12 cost 6,000 nuyen
Mute option availability +2 cost 4,500 nuyen
optiminization 2 availability +2(or 4 depending on interpretation of rules) cost 4,500 nuyen
the other option availability +2 cost 4,500 nuyen
So you are looking at a base availability of 14 at a cost of 10,500 nuyen. This means that your time frame for checks is 1 week
With the other added options (being nice and only adding 2 for optiminization) you are at a base availability of 18 and cost of 19,500 nuyen.
You make this check as a negotiation + charisma test since you are using a contact you are using swag through him so you have his charisma + negotiation + connection rating. Since it is through hacker house I will give some extra dice and since you are offering a favor for low risk he will even use edge. So lets say you get up to 20 dice. Now you can spend extra money to add dice and speed things up at a rate of 1 die for an extra 25% up to 10 extra dice (which would increase the cost by 250% to 36,750 nuyen at your base to 67,250 nuyen for the tricked out version)
Now say you go for the gusto and spend the money for the 10 dice you now have 30 dice to get 18 successes to be able to get it in 1 week. I'll say for each 2 more successes you can shave a day off the time frame. The after getting it down to 1 day for 5 more successes can get it to your 1 hour time frame. So lets see you would need 35 successes to get what you want as fast as you want. Here is a test roll:
30d6.hits(5) → [5,6,4,4,5,3,5,1,3,4,1,4,1,3,1,5,3,5,2,3,1,4,5,4,4,2,3,3,3,1] = (7)
With only 1 6 to reroll you can see that you aren't going to get to the 35 total you need.
So decide what you really need or are willing to sacrifice to get down your availability and I'll have your contact check if they can get it in time for you