Camera will not charge

I'm assuming by "shutter" you're referring to the one inside the camera and not the cover blades on the very front of the lens.
How old is the battery and do you use the camera a lot?
Old batteries can be fully charged but can become weak and not hold that charge when the camera is powered on. The shutter issue could be part of this as the battery might not be strong enough to power the shutter.
I think the batteries for these cameras are reasonably cheap so you could invest in a new one to see if that helps. An extra battery is always useful if you use the camera a lot.
If this is an old, well used camera part do wear out so if new battery doesn't help you may need to take it to a good repairer as the camera will need to be taken apart to find the problem.

1. use fully charged battery,
2. may be dust inside the lens use an air blower to strike away the dust

There can be more than one reason:
The battery can't be charged anymore, because it is defect.
The cable you use is defect
The charger you use is defect
One or more contacts are dirty or oxidised

Carefully check all contacts on the battery, in the camera the battery compartment but also the USB slot, where the charge cable goes in. The contacts should be clean and shiny. No contact should be bent. Cleaning with a dry cloth or cotton swab.
If the cable to charge is defect it is more difficult to detect. Only when you have another apparatus that can be connecter with the same cable, you could check if your cable is still in working order.
The charging source can be defect.
If it is a charger, you plug in a wall socket, check if you can use it to charge something else. If you put it in a PC, also check if that USB port can deliver 5 volt with enough current.
I do have a little gadget, from the beginning of USB and LED lights. An USB plug with a small cord and a LED light on the end of it.
You could use it as a reading light on a laptop. But it showed very helpful to show if a charger or a USB plug on a computer still is delivering 5 Volts.

I hope you find the culprit.

Success

Charger may be faulty

Start with http://www.samsung.com/au then click "Product Registration" at the top of the page.

it keeps on saying zoom did not operate normally

You may download a copy of the manual from here.

The Samsung ES90 only has about 37MB of built-in memory. The state of the battery has no effect on this. If you want to take more photos then you can either make them smaller, or better yet, add a memory card.

It sounds like the battery is end of its life. If you plug the power adapter into the camera, does it power on? If it does then it's the battery. (some cameras might requre you to have the battery in there..so put the battery in, but also plug in the power adapter and see if it powers on)

Try holding in the power button on the camera with the charger connected to the camera & still plugged into the wall outlet. This may be a reset the manual doesn't tell you about or simply a weird fix for the same problem I had with my F10.