To close the topic, I want to share what I did.
I built the Bias-tee(C5, C6, C7, C10 L3) on its own using your advices about it, left a place for another inductor if I need it. Downloaded the inductor's s-parameters from the manufacturer. It(bias-tee) has a s11 of -40db near DC, and -1.3db around 4Ghz.
I also simulated the LNA on its own(S11 near -25, S22 -15), and they both give good results. When I combine them into a single circuit though, I got some weird simulation results.
When the biasing resistor of my amp(R2 in picture) is deactivated in schematic, everything works smoothly. But when I activate it, S22 and gain detoriates(S11 and Stability is unchanged somewhat).
**broken link removed**
I lean to think ADS does not understand SRF impedance of inductor, hence it does not do the impedance matching correctly(I will learn how to do that asap). I expect it work nevertheless. I did the layout as you suggested, one of the pads of inductor is located on top of track, with the bypass caps behind it.
Kind Regards,
ktr