RC circuit with current and voltage source
I'm assuming that the current direction of the current source is as shown below: -




  I don't know how I should consider the current source. Most problems
  that I solved have either had a current source or a voltage source.
  How should I look on the circuit when I have a current and voltage
  source?


My preference is to make the voltage source \$V_A\$ into a current source but first...

Your redraw is correct but there's one more thing you can do. R1 (in series with the current source) has no effect on the circuit because it is purely in series with a current source. It's the same for resistors in parallel with a voltage source - they do not affect the voltage source and can be turned into open circuits. In R1's case it becomes a short circuit.

Then, turn \$V_A\$ into a current source of 6 mA in parallel with R3. Do you see what I did here? The effective series combo of 6 volts and 1000 ohms become a current source of 6 mA in parallel with 1000 ohms.

So now you have R2 || R3 being fed by a current source of 2 mA (from the left) and a current source of 6 mA from the right. Total current is 8 mA into R2 || R3 (500 ohm) or, put another way, 4 mA flows into R2.

That sets the initial charged capacitor voltage.

Can you take it from here?