As shown in the
release note, both R310 and R600 are supported in 10.4 Refresh 2 (aka 10.4.0.0.98) so in terms of the AP support you are okay. Always worth reading through the
release note before you do the upgrade.
Page 6 of the release note also shows the supported upgrade path, which the oldest supported for direct upgrade is 10.2.0.0.189 (10.2 GA), so you will need to upgrade to this first before moving to 10.4.0.0.98. So the upgrade path from 9.13.3.0.41 (3.5 years old) would be as follow (checking the relevant release notes):
9.13.3.0.41
10.0.0.0.1424
10.2.0.0.189
10.4.0.0.98
Hope it helps.