Your second attempt is better as it is taking the vectors into account, but I think you're trying to do too much at once.
Start by reducing the Coulomb constant to a single constant: ##k = \frac{1}{4 \pi \epsilon_o}##. That way you don't need to drag the whole thing through the calculations.
Next, Deal with one charge at a time. Find the field at the point in question due to Q2 alone, since it's a fixed feature. Call that E2.
Then find the contribution by Q1, leaving just the Q1 as a variable (so you'll end up with some vector constant, say D, multiplied by Q1 to yield the vector components of the E-field due to Q1 at the point in question). Call that E1.
At this point you should be able to deal component-wise with the various E vectors to address the requirements of the questions.