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The radish tops and bottoms can be fodder for your compost bin or, for a fun project, you can try regrowing the radishes utilizing those cut-off parts. Radish tops and bottoms have the ability to regrow with each piece bearing different results. Regrowing radish tops will give you more greens while regrowing the bottom has the potential to grow new radishes. For more information visit the following link:
http://homeguides.sfgate.com/radish-top-regrow-98007.html

For information on harvesting radishes, please visit the following link:
https://www.gardeningknowhow.com/edible/vegetables/radish/harvest-radishes.htm

There are a few things you can do to prevent radishes from getting hot to the taste.

When radishes grow slowly, they tend to become hot to the taste. The key to getting them to grow quickly is to keep them evenly watered (consistently evenly moist but not damp/soggy) so that they grow quickly. And given that they are a cool-weather crop, it is best to plant and harvest radishes when the weather is on the cool side.

Secondly, when you harvest radishes affects the hotness as well. Radishes are best picked as soon as they are mature when they are relatively young and small. If they are left in the ground too long they will get hot.

For a plethora of information on radishes, please visit the following link:
https://www.gardeningknowhow.com/edible/vegetables/radish/

Temperatures cool with threats of frost are generally too cold for most radish to grow.

The soil must be warm enough for germination and they need bright sun for good bulb formation.
Also if the plants are crowded and not thinned out this will inhibit the bulbs from forming. They should be thinned to about 1 inch apart.
If your growing leaves and no bulbs you may have too much Nitrogen in your soil. You can try rotating your crops to a different garden area.
I sometimes sneak in my radish on the edges of my raised beds.
Also if your spring temps are too cold and then the hot summer starts in, you could try planting some radish toward the end of the season as the temps cool down.

I am gardening in zone 4 and have good luck with French Breakfast and Cherry Belle.

https://www.gardeningknowhow.com/edible/vegetables/radish/radishes-bolting.htm

https://www.gardeningknowhow.com/edible/vegetables/radish/growing-radishes.htm

Are the spots powdery in nature or bleached out looking? It could be attributed to either powdery mildew or from water spots associated with overhead watering or splashing of the leaves. Limiting overhead watering will help with this water spots. The powdery mildew can be treated with neem oil, which is an effective and safe fungicide. It will also guard against many insect pests. Here is more information: https://www.gardeningknowhow.com/problems/pests/neem-oil-uses.htm

Add some bone meal to the soil when planting, which will help with growing larger radish bulbs. This article will also help: https://www.gardeningknowhow.com/edible/vegetables/radish/tips-how-plant-radish.htm

This happens when the soil is too weak in phosphorus. Add some phosphorus, such as bone meal, to the soil. This article will help you: https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/phosphorus-plant-growth.htm

Radish is a cool weather crop. To warm of temperatures can cause the plants to bolt.
Also to tightly planted together can cause the bulbs to not form.
Here is a link with more information.

https://www.gardeningknowhow.com/edible/vegetables/radish/radishes-bolting.htm