Yes, the EAs will provide different number of trades based upon different brokers historical data. What I suggest is to have demo accounts with different brokers and install the same EAs on each demo account and then wait one month to see which broker provided the best trading results. Then use the best broker to trade EAs.
I am happy to hear you solved the problem. Keep in mind however, that not all brokers will provide the same results when the same EAs are placed on them. It is a good idea to place the same EAs with multiple brokers, wait a month, and see which broker gives the best trade history. Then choose that broker to trade EAs with.