The transit network on the HOL is probably on VXLAN logical switch so there is no need to specify VLAN specific that heartbeat, the only VLAN you need to tag is the VXLAN transport/VTEP VLAN.
If the HA vNIC is connected to VLAN-backed dvPortGroup then you need to tag the dvPortGroup VLAN just like any normal VLAN-backed dvPortGroup, this setting is not specific to Edge HA.
It will use the 169.254.1.x/30 if you do not specify any IP address on the Management IPs.
It is easier to have dedicated logical switch per Edge HA.
If you are sharing same logical switch across multiple pair of Edge HA, then the IP addresses would conflict or HA would not work properly.
It would work sharing same logical switch with Transit Network, just like normal Layer 2 network/VLAN you can have multiple network/subnet in that VLAN.
But for production purpose, I would dedicate a logical switch for Edge HA