Maybe you can bump up your ISO by another 2-3 stops (ISO 800/1600 if lighting not bright enough or 'low light' / 'dimly lit').
Also, 1/10s shutter is a bit too slow if handheld I think.

From your EXIF :

Camera  Nikon D7000
Exposure  0.1 sec (1/10)
Aperture  f/5.6
Focal Length  92 mm
ISO Speed  250
Exposure Bias  0 EV
Exposure Program  Manual
Max Aperture Value  5.7
Metering Mode  Center-weighted average
Exposure Mode  Manual
White Balance  Auto
Focal Length (35mm format)  138 mm
Quality  RAW
Focus Mode  AF-A
Exposure Difference  -0.7
Vibration Reduction  On
Active D- Lighting  Off

true ...but in this case, you are already at the limit of a good source of lighting.
hence, you should open up more aperture (f/1.8, 2.8, 3.2, etc).... but that is not possible with your 18-105 f/3.5-5.6 lens.

the other is slowing further your shutter to get more lights in, but again, not possible because your shutter already at 1/10s. Go even slower, and you'll get even more 'motion blur' or handshake.

So you got only ISO to play with (increase it further)...... or add more lights to get faster shutter speed and maintain the same ISO.
I believe d7k can still give good & usable image even until ISO6400.

*added*
On manual exposure mode, you may want to learn using the 'exposure' meter on your cam. This ---> +2 .. +1 .. | .. -1 .. -2

low f number means bigger aperture.
or the other way around, bigger f number means smaller aperture.

confusing eh? ..hehe.

example 1 : f/8 vs. f/5.6 
f/5.6 is 'bigger' aperture and brings in more light. (but at the same time your DOF is shallower too)

example 2 : f/2.8 vs. f/1.4
same as above. f/1.4 is bigger aperture than f/2.8.

so how about
#1  --> "f/8 vs f/1.4" 
#2 ---> "f/5.6 vs. f/2.8"

which one gives more light for the two cases above? Can try and guess?   

DSC_2574 by ongdennis, on Flickr
flower


DSC_2454 by ongdennis, on Flickr
take off

bro, learn the basics first. actually the basics = logic. very very easy to learn.

ISO, shutter speed, aperture. master these things first then get into the other stuffs. do u have a fren who can teach u? looks like u do. learn with ur fren, shooting is fun, really fun!
mine last time left and also middle

go slap your friend u're using a D7000. part of the money you spent goes to that impressive sensor that can still perform well at high ISOs.

it's true that if ISO is too high, ull get noise. but dont be afraid to push it up. even at 6400 it should be fairly good. the good thing about increasing ISO is there isn't any significant side effects (up to a certain point of course). if u try to increase exposure by increasing shutter speed, ull get motion blur. increasing aperture is limited by ur kit lens, but even then (especially for macro) ur DOF would be too thin.

tl;dr, better to have noisy photos compared to motion blur / DOF too shallow

your friend is correct, but your friend is also wrong

if you are given a situation where you need to take picture of your friend in a party (indoor living room), light is dark couple with the dark hair of asian make it even darker, you dont have a off-camera flash and your in-camera is so lousy

in this situation you want to go for 100 ISO but shutter speed of 1/5s and everyone just blur out or you want to go for ISO 3200 and shoot at 1/100 and your friends all like your pictures in facebook and they are glad that you are there to take pictures for them

so low ISO or the now-or-never moment? choose one

Nothing is true; Everything is permitted

It's not about kit lens. I mean, kitlens is not that bad. Lens does help but i think you are still confused with ISO + Shutter + Aperture relationship.
There's always 3 balls to juggle depending on the situation. You have to be smart and figure what kind of shot you want to get.

You can experiment this by just shooting in Auto mode. You'll see that your kit lens still can get a good shot.
(the camera adjusts for you the best setting between ISO, shutter & aperture)
Then change back to whatever mode you are shooting with, A, S, P, M. See if you can get the same shot or not ...or tweak it to your liking with A, S, P, M modes.

:: added ::

Your picture EXIF says :
Camera  Nikon D7000
Exposure  0.017 sec (1/60)
Aperture  f/3.5
Focal Length  18 mm
Focal Length  18.3 mm
ISO Speed  1600
Exposure Bias  -1/3 EV
Flash  Off, Did not fire
Exposure Mode  Auto
White Balance  Auto
Focal Length (35mm format)  27 mm
Quality  RAW
White Balance  Auto1
Focus Mode  AF-C
Vibration Reduction  On
Active D- Lighting  Off
Lens  18-105mm f/3.5-5.6
Flash Mode  Did Not Fire
Noise Reduction  Off
Focus Distance  0.50 m
AFArea Mode  Single Area

or u tell us what u want to shoot with this coka cola cup...then we try our best to tell u what u need to set

Is it now good timing to buy D7000? Or rumour D7100 coming soon? @_@

anyway if u planning to get 50mm lens. for D7k, the 1.8D version also ok wut.. rm370 only.

ya lah, have to wait patiently for them to fix it
D = got aperture ring at the lens mount. cannot be used on d5200/d3200. classic lens
G = gilded lens, no aperture ring at mount. can be used d7000 above only

in terms of image quality, u can checkout flickr groups or google.

70-200 is a pro grade lens while 70-300 VR is not. Not to mention the constant aperture vs variable aperture.