the new CPU should work in your motherboard.
Will I need a new CPU heatsink and fan?
depends if you buy it in the OEM version or the retail version. OEM version does not come with a heatsink and fan whereas the retail version does.
Will I need to upgrade my PSU?
depends, as you were quite unsure what the actual wattage of your PSU is. i recommend looking for the wattage rating on your power supply. it will be on the back, where you plug into, or it will be on one of the sides. if the label is on one of the sides, then you will need to remove your PSU so you can read it.