It should be as simple as executing the following TMSH command:
tmsh modify /ltm pool monitor tcp
`
For example, to modify the pool you cited in your question:
`tmsh modify /ltm pool ARCH_PE_DataJunction_arch_pe_DJport7110 monitor tcp
As for whether changing the monitor will produce issues or not, there are always things to consider. The tcp_half-open monitor does a SYN/SYN-ACK followed by a RST. The tcp monitor does a full 3-way handshake (SYN/SYN-ACK/ACK) and then sends a FIN. This may have an impact in your environment as clearly the volume of traffic per monitor test is different.