Agreed that it needs something - the kaliva is nasty but 5 SAP dice generally nets you only 3-4 hits on most targets; a couple of interceptors can cope with that without too much trouble.
Lances get nastier the more you have. If you can only field one I'd be tempted to leave it at home.
The Takata is nails and a very good ship now - the ability to drop 16 dice of double-damage mines on anyone idiotic enough to deploy in a close group forces enemies to scatter and try to come at you from all sides, and you're manouvrable enough to point them where they're needed.
(And 5 interceptors means you should win a missile fight hands down)
The trick is to field enough close range brawlers to win the fight when they come to you; the Brakiri ships in this category are the halik- and haltona-class frigates.
The Halik is a superb fighter killer; the best in it's weight - but other than its prodigious flak, the only thing you lose compared to a haltona is twin-linking on the guns; you still have the same number of pulsars, they're just marginally less accurate. In return you get a double-damage beam that outguns some battle-level ships (ok, it's slow-loading, but it's forward arc and mounted on an agile hull, which balances out the number of shot's you'll fire).
I'd suggest dropping the kaliva in favour of another couple of halik/haltona hulls (some escorts are good but you don't need four; I'd suggest 2 halik 2 haltona, 3/3 or 2/4 if you get more such ships) .
Alternatively, one or two Brokados might not go amiss. For a raid-level ship it's not bad; it has a command bonus (rare on brakiri ships) and is a decent carrier, with good fighters, and is still not entirely helpless in a scrap.