Ok, I've taken a quick look.
Firstly, you only have radar coverage over Russia, The Asian Republic and part of the Middle East. The radar in your second base needs both a power plant (in progress) and a command centre (missing). Your approval rating for each country (and your income!) is based on you detecting and eliminating the alien threat. You can't detect without radar.
Secondly, your Dragon has no armour and only light weapons so will always take lots of damage. Your Stilletto only has Polymer Armour so will also take lots of damage. You have researched Alien Aircraft Plating so you need to produce some for your Interceptors at least.
Thirdly, you aren't producing or researching anything at the moment... given you have good facilities, you need to use them to constantly upgrade your forces.
Fourthly, you can get a lot more income (and hence build more bases and radars) by selling the excess alien tech you collect. You can't use Alien Armour so other than keeping one for research, you can sell the rest. Likewise, you won't need 48 Plasma Blasters, etc. Sure, keep a few, but the excess can be sold to help expansion.
I'd say overall you're on the right track but the 2 biggest things that helped me was realising that lack of radar meant countries get grumpy, and you can sell excess alien tech so you can build lots of radar (either in the form of a few bases or lots of radar installations - but remember installations are limited to 5 per base you have). Upgrading your aircraft armour should help with your planes being shot up all the time.
Capturing live aliens can be done either with the stun rod (none of your soldiers has it equipped - use your top close range soldier) or sometimes in the early game with snipers at long range.
The kerblade doesn't exist any more. I think it was replaced with the plasma knife, but don't quote me on it. I think there is a thread on the forums about it somewhere.
