This planet isn't going to have tropical regions, not even near the equator. Given those average temperatures, you're more likely going to have a snowball than something Earth-like.

Your basic problem is temperature. Earth's average temperature, spread over the surface over the course of a year, is about 15C. Naturally, this is not consistent over all latitudes: some will be higher, some lower, or else we wouldn't have permanent ice caps. I don't know the exact average temperatures for given latitude bands (for which I applaud your attention to detail), but I would surmise that Earth's tropical regions would have a year-round average of at least 20C; any less than 18C would by definition mean they were not tropical climates. If your equatorial regions are averaging out at 8C, you'll be lucky if the average surface temperature is above the freezing point of water.

You should also refresh your memory of the Koppen classifications and their criteria, because temperature is as critical as precipitation. All tropical climates, by definition, require an average monthly temperature of 18C (291K) or higher year-round, and your planet is nowhere close to that when the equator averages out at only 8C. As it stands, your planet is going to have a lot of the colder continental climates, mostly tundra beyond 30N/30S or so, with possibly some temperate climates near the equator.

Incidentally, if you want more tropical climates, you actually want a smaller axial tilt; a larger tilt produces larger seasonal extremes, which favors continental climates (and, to a lesser degree, temperate climates) over tropical and tundra climates. If you're looking for just rainforest biomes, temperate rainforests are a possibility in coastal regions, which would allow you to retain the high axial tilt. Temperate climates are where the coldest month averages between 0 and 18C, and the warmest month is above 10C; continental climates have the coldest month below 0C, so this is where you'll get most of your snowfall.

This planet isn't going to have tropical regions, not even near the equator. Given those average temperatures, you're more likely going to have a snowball than something Earth-like. Your climate map as posted appears to be based on a much higher planetary temperature than you actually have.

Your basic problem is temperature. Earth's average temperature, spread over the surface over the course of a year, is about 15C. Naturally, this is not consistent over all latitudes: some will be higher, some lower, or else we wouldn't have permanent ice caps. I don't know the exact average temperatures for given latitude bands (for which I applaud your attention to detail), but I would surmise that Earth's tropical regions would have a year-round average of at least 20C; any less than 18C would by definition mean they were not tropical climates. If your equatorial regions are averaging out at 8C, you'll be lucky if the average surface temperature is above the freezing point of water.

You should also refresh your memory of the Koppen classifications and their criteria, because temperature is as critical as precipitation. All tropical climates, by definition, require an average monthly temperature of 18C (291K) or higher year-round, and your planet is nowhere close to that when the equator averages out at only 8C. As it stands, your planet is going to have a lot of the colder continental climates, mostly tundra beyond 30N/30S or so, with possibly some temperate climates near the equator.

Incidentally, if you want more tropical climates, you actually want a smaller axial tilt; a larger tilt produces larger seasonal extremes, which favors continental climates (and, to a lesser degree, temperate climates) over tropical and tundra climates. If you're looking for just rainforest biomes, temperate rainforests are a possibility in coastal regions, which would allow you to retain the high axial tilt. Temperate climates are where the coldest month averages between 0 and 18C, and the warmest month is above 10C; continental climates have the coldest month below 0C, so this is where you'll get most of your snowfall.