Easiest/cheapest way is: collect some palladium and really build zeta's, don't spent your uri yet, because it have more power after zetas. Actually I think when you get full Havoc's, you should have done 20+ Zetas, which mean you have ~500 keys or under, it just your lucky how many Zeta's you need to do. But because you have 4 now, you should have done 5-8+ Zeta's.
After you have those keys, use them on Zeus day, because then you can get all 3 special things, what you need. After those 500 I think you might have: Full Zeus (if you're lucky, now I have seen many players, who has got them) or 10-15 Parts, about 25 Apis parts, and several LF-4. Then you wait Apis day, and buy Apis after that, it should be about 100k uri.
You have 500k uri from the Zeta's right? Then you should wait Zeus day, if you might have the parts, so it's about 600k uri, so you can buy it, but if you have luck, and you get it "free", then you should buy the booty keys, and wait LF-4 day. You should get again several LF-4, if you have luck.
Then, you should collect Palladium, and build Kappa's. You should have Full Hercules after 20-60 Kappa's and then you have too several LF-4's, if you have luck. You have the booty keys, and again wait LF-4 day to get more LF-4.
Then there is the easiest, but not cheapest way: buy uridium, buy Apis and Zeus and others to Zeta's and Kappa's.
Notice: nothing is sure in DarkOrbit, because gates and the booty system is based to random generator, those are just the stats which other players have got for at middle. There is the luckiest people, and unluckiest people.
Actually I don't even know how much uri you have now, so those might not be right for you.
Give thanks, if this helped you.