For one thing, the longer day will reduce any currents generated by coriolis effects. Coriolis effects are responsible for the clockwise rotation of ocean currents in the northern hemisphere and counterclockwise rotation in the south (see map below), mainly due to atmospheric pressure from air currents formed by coriolis flows. This means that the currents aren't very deep, so ocean depths play a very little role.
There will still be an appreciable coriolis effect, though, and lacking other influences (we will get back to that), these currents will be main ones, even if they are less strong than on Earth.
Ocean Currents on Earth
The polar ocean on your planet (which has very little connection to the main ocean) will have a gyre rotating opposite your planet's rotation, like the arctic subpolar flow around Earth's Antarctic continent (see map).
Currents in your main ocean will be divided between north and south by an equatorial counterflow opposite the direction of rotation. The north will have a counterclockwise-flowing gyre, and the south a clockwise gyre (given your planet's direction of rotation). The vertical bay to the right of the middle of your map is unlikely to have any appreciable currents from the coriolis effect.
Now we get to the effects from lunar tides. Your moon has roughly 33 times the mass of our moon (assuming similar composition) and orbits at 2.8 times the distance. This makes the tidal influence 4.2 times as strong as the lunar tides on Earth. Solar tides are responsible for about one-third of the tidal force on Earth, but with no information about the mass and distance of your sun, we just have to assume that overall tides are roughly 4 times terran values. With no information about the eccentricity or inclination of your moon's orbit, I have to assume that both are insignificant.
Lunar tides make ocean levels rise on seas below the moon and on the opposite sides, while ocean levels decline on the 'sides' (both with a little lag, but that isn't important). The flows between high and low tides are hence likely to be the most significant on your planet. This will be especially important for your vertical bay, which will experience strong south-going currents between high and low tides (when water flows out) and north-going currents between low and high tides.
It is unclear if the high (retrograde) axial tilt you mention refers to your planet or its moon. Grammatically, the latter seems to be the case, in which case it has little effect on the ocean currents on your planet. If, however, your planet is tilted this way, seasons will be quite extreme, with polar circles extending to within between 20 and 38 degrees from the equator, leaving the greater part of the the planet in unbroken darkness for half a year, then in unbroken sunlight for half a year. I imagine that this would lead to a lot of evaporation on the summer side, falling as precipitation on the winter side, which would result in a small flow of water between the two sides, reversing as the seasons reverse. The magnitude of this effect would depend on the length of the year.
Regarding your moon: It is unlikely to have an icy crust at a distance from the sun that allows liquid water on your planet. The ice would sublimate and either escape into space or form an atmosphere of water vapor, which would soon heat the moon and melt the ice.