Yes, you can trade with FBS by using EAs or other copy trading systems.
FBS offers only MT4 trading platform, so the programs(EAs) needs to use the MQL4 language.
As long as the EAs and the copy trading systems are compatible with MT4, you are fee to use them with FBS.
FBS is a STP broker
FBS is a STP* broker and that means all the orders from clients will be sent to the real FX markets directly.
Thus FBS has got no restrictions on trading methods. You can trade scalping, EAs, hedging and etc..
Arbitrage is not allowed
Most of the brokers does not allow Arbitrage trading, as it is not categorized as trading which is taking risks as same as other methods by some brokers.
Please note that if you trade arbitrage, your profit may be cancelled and you can withdraw only the original deposit amount.
For more details about FBS’s trading conditions, please contact to their customer support team to clarify from the Official Website.