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Actually the female Skimmia produce the berries, you will need a male plant to pollinate the female plants.

Here is a link with more information.

https://www.gardeningknowhow.com/ornamental/shrubs/skimmia/growing-japanese-skimmia.htm

Propagation is preferred with seeds for this plant, though you can take semi-ripe cuttings in late summer.

You will need to heat the cuttings with bottom heat to promote rooting.

Here is a link with more information.

http://hortupdate.unl.edu/Cuttings1

This sounds like an infestation of leafminer caterpillars.

http://extension.colostate.edu/topic-areas/insects/leafmining-insects-5-548/

I am not sure what leafminer species would attack Skimmia, but this shrub is in the same family as citrus trees, so perhaps the citrus leafminer would:
http://ipm.ucanr.edu/PMG/r107303211.html

You could also check with a local extension agent to find out what leafminer caterpillars are common in your area.

It can be difficult to control these with insecticides. The best control method is probably to search the plant for caterpillars and affected leaves frequently, and kill them or remove the affected leaves from the area.

Yellowing leaves in this shrub is most likely caused by too much sunlight.

They like to be in a more dappled sunlight area.

Other issues can be nutrients, alkaline soil and pests.

You can feed the plant a general all purposed fertilizer in the spring.
Check soil ph if you suspect the soil issue.

Inspect for insects and treat with Neem Oil if any our found.

It can take a long time to recover, even after the issue is resolved.

https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

You can tell the flowers apart quite easily if you know what to look for. Males will have 4 stalks with pollen sacks on all four tips. They are bright yellow so you can't miss them. The female will have a single center stalk with a gnarled looking tip.

As for where to get one of the opposite sex... This can be challenging. They are often mislabeled in nurseries, but you might have some success online with a search.

These are shade plants. You will want to keep the area around them moist, but not wet. That means you will check and see if the soil is dry on top, and if it is, that is when you will water it again. It can take longer to dry during wet periods, and can dry very quickly in dry spells. This article will give you more information on the care of these: https://www.gardeningknowhow.com/ornamental/shrubs/skimmia/growing-japanese-skimmia.htm