The short (or possibly long) answer to your questions is to go back to the basics.
Plum juice has about 130g of sugar per litre which is about the same as apple juice, i.e. you would expect the SG to be around 1.050. I guess that crushed plums would be about the same. I have done something similar to you by adding about 10% frozen and mashed cherries into a secondary fermentation of apple and pear juice for an apple/cherrry cider. It started as an experiment to see if the high levels of non-fermentable sorbitol in the pears left some residual sweetness.
I used SO4 yeast which often finishes in the range 1.002 to 1.004 leaving some unfermented sugar and hence a touch of sweetness. So I bottled at 1.005 and ended up with a lightly carbonated, slightly sweet cider which certainly displayed cherry notes and wonderful colour. In fact it scored 48/50 and won the local rural show a few years ago... success by accident!!!!
However, this pointed me towards understanding the basics of what happened. The following explanation should answer your Questions 1 & 2. It is a bit scientifically rough but bear with it, here goes...
Apple juice (and lets assume, plum juice) is typically 80% water and 20% flavour compounds of which 80% is sugar. If you ferment all of the sugar out, you are left with water, acid, tannins and other stuff. i.e. the main item that makes it taste nice (sugar) is all gone.
So, unless you are looking for a dry and tart apple/plum cider you will probably need to retain some unfermented sugar or add a non-fermentable sweetener like stevia, xylitol etc. To retain some sugar, the fermentation will need to be stopped by chemicals or by heat pasteurisation to kill the yeast (I use heat pasteurisation but others swear by chemical means... take your pick!)
Even though there are other compounds that affect the density of a cider their influence is relatively small and so SG can be taken as a reasonable proxy for the amount of sugar in a cider (a good website for SG vs g/L of sugar is the Vinolab Calculator... if it comes up in croatian, click the English tab in the top RH corner).
As a rule-of-thumb, medium dry ciders have a FG of about 1.010 (25g of sugar/L), medium sweet about 1.015 (40g of sugar/L), etc. As a guide, 20g/L is about the same as a teaspoon of sugar in a cup of coffee.
These days for a cider with a touch of sweetness I will bottle at around SG1.010 to1.012 and heat pasteurise at 1.006 to 1.008 for a slightly sweet carbonated cider (you can either use the soda bottle squeeze test or a bottle with a pressure gauge to judge this). The SG change of 0.004 will result in about 2 volumes of CO2 which is about what I like. Most commercial beers, soda, etc are carbonated to around 2.5 volumes.
So, you can add your plums and juice after primary fermentation, see what the SG is and work from there to figure out when to bottle etc for the carbonation and sweetness that you want.
For your Question 3, the answer depends on the type of bottle, which can range from used beer bottles to champagne bottles.
Manufacturers usually rate beer bottles bottles at 1.2 to 1.6MPa (i.e around 200psi or more) with champagne bottles at almost twice this.
One volume of CO2 is about 15 psi of pressure in a bottle . So a typical bottle of beer will have about 2.5 volumes of CO2 creating 45 psi of pressure. Some studies have shown that manufacturing batch testing of bottles can allow the occasional below spec rogue bottle to get out into the marketplace, so as many of us use recycled bottles it is prudent to limit pressure to well below the manufacturers' ratings.
Bottling at anything more than SG1.012 and letting it ferment all the way to 1.000 will generate about 90 psi of pressure (based on a 2 SG point change generates 1 volume or 15psi of carbonation in a bottle) . Similarly, pasteurising a bottle with 2.5 volumes of carbonation at 65C will generate pressure in the order of 109psi until it cools down again. I guess it is for individuals to decide how much margin of safety they want.
Sorry I haven't given you YES and NO answers but I hope you managed to read this far and it helps you get your own answers.
Cheers!