Here are some pointers regarding your project :
1) the BFP420 is a fairly low voltage device. So even working at your 5v might have damaged it.
2) the MPSH10 is higher voltage, but will not be able to give you enough gain at 380Mhz
3) the cap C4 is suspicious. Why is it there ? Instead you should maybe have a biasing resistor to ground. Rough calculation shows around 1.8K-2.2k should be good place to start. Your current scheme will probably drive the bjt into saturation.
4) Physically making very low value inductance is notoriously difficult. Your calculations do not seem entirely correct. In addition your PCB has very loose wiring - for high frequencies you MUST keep wiring length as close to ZERO as possible, unless you are using the trace itself. Note that a straight 10mm length of 1mm wire has L ~ 6nH, and a single 5mm diameter loop of 1mm wire has L~6nH. In your physical pcb circuit, just the loop formed by C1-L1-C2 would contribute a an additional 'stray' inductance of the order of upto 20nH or more. Stray capacitances are easier to control.
5) for decent bypass, use a larger value of C7 - like 470pF or more.
6) your base coupling capacitor C3 appears almost in parallel to the tank cap C1. So you have to minimise that, or factor into your calculations.
I suggest you experiment with your circuit config for lower frequencies (i.e. higher values of L) until you get more experience.