Can a planar graph have multiple edges joining 2 vertices?

Question

If they are planar, do the properties $2E \geq 3F$ and $E \leq 3V-6$ remain true?

For example, consider 2 vertices joined by 2 non-intersecting edges. Then $E=2, F=2$ and $V=2$ and $2E \not > 3F$.

Are there any specific rules for these graphs?