capacitor - RL-C Circuit Problem

I am trying to get some practice on the basics, but i am having some issues with the following question:

1. Find Currents I(1) and I(2) and show them on a phasor diagram.


2. Find the total current, I(total).


3. Find the Voltage across each component.


4. Calculate the total circuit impedance, Z(total).

5. Find the total current I(total).


6. Find the voltage across each component.


7. Calculate the total circuit impedance Z(total).

For #1, I have worked out the answer for I(1) to be 3.88 A and I(2) to be 2.26 A. Does this seem correct?

For #2, I have worked out an answer of 2.59 A for I(total). But, this cannot be correct, right?

I have looked online for guidance and it seems it may be useful to use complex numbers for working it out, but I do not know where this would fit in, or even if this is required to answer it.

Any help or point in the right direction would be appreciated. Thanks