How to match two impedances which both have an imaginary component?
For question 1: the previous answer suggested putting a capacitor (negative reactance) in series with the load to make the load entirely real. Then you can match the real source to a real load. If both the source and load are inductive, then place one capacitor in series with the load to cancel out the reactance, then put another capacitor in series with the source to cancel out the source reactance. When you do that, you can match a real source to a real load.
For question 2: your transmission line impedance should match both the load and the source impedances in order to deliver maximum power to the load. So if your source is 30 ohms, and you impedance transformed the load to be 30 ohms, then you should use a 30 ohms transmission line. That said, the impedance mismatch between 30 and 50 ohms isn't that much \$\Gamma=\frac{50-30}{50+30}=1/4\$ so the power delivered is \$1-|\Gamma|^2=94\%\$. So if you just made you load 50 ohms, used a 50 ohm transmission line, and had a 30 ohm source, you'd still deliver 94% of the power to the load.