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The following article should be of some help to you:
https://www.gardeningknowhow.com/edible/vegetables/squash/when-to-harvest-squash-best-time-to-pick-winter-or-summer-squash.htm

It is true that pinching off the tips of squash runners (after fruits have started to form) will allow the plants to spend more energy producing squash.

I assume your wondering about harvesting your squash.

The vine will start to turn brown and lose it's green color. The leaves start to turn slightly papery as the vines and plant die off.

The last paragraph of this article will help you.

The stem of the squash is a good indicator of when the squash is ready to remove from the vine.

https://www.gardeningknowhow.com/edible/vegetables/squash/hubbard-squash-care.htm

Yes, but the seeds may not produce the same vegetable due to the fact that squash have both a male and female blossom and rely on cross pollination from insects.
After the squash has been harvested it should be allowed to sit after ripening for 3 to 6 weeks.
Wash the seeds and then dry them. They should be stored in a dry area away from sunlight.
https://www.gardeningknowhow.com/edible/vegetables/squash/hubbard-squash-care.htm

Cutting the vine may injure it so severely that the entire plant will die, and if it doesn't die it will become highly susceptible to disease. The younger squash will either not fully ripen or die off on their own if the vine ends its life by providing nourishment to bring the more mature fruit full cycle. Leave it be, and enjoy!

Here's some additional information on Blue Hubbard Squash: https://www.gardeningknowhow.com/edible/vegetables/squash/hubbard-squash-care.htm

Squash plants typically produce both male and female flowers on the same plant, but they often produce only male flowers initially for several weeks before the female flowers appear. The male flowers will pollinate the female flowers.

The female flowers will probably appear soon. Here's how to recognize the females when they appear: https://www.gardeningknowhow.com/edible/vegetables/squash/female-male-squash-blossoms.htm