I'm going to vote for LTSpice because it is the only system I have used since I last used the IBM Circuit Analysis Package back in college (circa '73). Punched cards...
For the beginner, I'm not sure circuit simulation is even a good idea. It's sort of like getting the wrong answer to 12 digits. The simulation isn't the real circuit. The whole point of design is to know how it's going to work and why it's going to work and
then seeing if the simulation agrees.
A 12V 5A control, driven from a logic circuit seems like it just calls for a logic level MOSFET, or a relay with a transistor relay driver.
https://www.sparkfun.com/products/10213The bildr tutorial is worthwhile and the datasheet claims well over 40A with a 5V gate.
If the MOSFET gets warm, add a heatsink. I'm not sure how to add the heatsink to LTSpice.
Sometimes it just comes down to Ohm's Law and a couple of graphs. See page 3 of the first datasheet. Print the page and plot the 5A operating current on Figures 1..3. Check against the logic voltage (I would assume 4V from a 5V Arduino).
Work out the power dissipation from RdsON and the load current. I make the resistance about 0.03 Ohms and with 5A, that comes out to 3/4 Watt. It could be 0.04 Ohms with a 4V Vgs, so maybe 1W. Just the power version of Ohm's Law.
Nevertheless, LTSpice is a pretty fantastic piece of software.