A few comments...
Biellmann spin / possition
Named for Denise Biellmann, it is performed almost exclusively by women. Skating or Spinning one one blade - the skater reaches behind them to grab on the blade of the free skate, pulling the free leg as horizontal as possable.
I think you mean as vertical as possible. How about just saying "pulling the free leg above the head"?
Camel spin
One leg extended behind them in the air, parallel to the ice.
The copyeditor in me wants to edit to "A spin performed with the free leg extended behind the skater, parallel to the ice." Actually it should also mention that the torso is leaning forward also parallel to the ice.
Code of Points ~ COP, CoP, The code
Point regulations for skaters decerning the point values to elements performed.
By "decerning" do you mean "discerning"? I don't think that's the word you want here. How about defining the code of points as "A scoring system in which specific point values are assigned to each element performed." (And add a mention of grades of execution and component scores as well?)
Free skate/Long program ~ FS, LP
Usally the second phase of competition in singles and pairs, the first phase being the short program/SP. Lasting 4 minutes for ladies. 4 minutes,30 seconds for men, can verry 10 seconds without deduction.
And 4:30 for senior pairs. Please specify that these time limits are for senior level -- at lower levels they're shorter.
Layback spin
Performed by women (internationally), spining in an upright position, droping the head and shoulders backward and arching the back.
It's a required element for women in the short program, but some men do perform them.
Loop
Taking off from the back outside edge of one blade and landing on the back outside edge of the same skate.
You need the word "jump" in here somewhere. And you might want to mention that this jump is often called "Rittberger" in Europe.
There is also a move called a loop that involves actually drawing the shape of a loop on the ice that was important in school figures, which skaters occasionally included during slow sections of free programs but not so much any more now that hardly anyone learns and trains school figures.
Actually you should probably start each jump definition with something like "a jump that," or include the word "jump" in the name of the element, just to be clear for anyone reading who may be completely new to skating terminology.
Scale of Value ~ SOV
The elements base value according to its difficulty.
How about "The tables listing each element's base value according to its difficulty" ?
Short program ~ SP
The first competition in singles and pairs. There are eight required elements in the SP, which can last up to 2 minutes, 50 seconds without violation.
Again, specify that that time limit is for junior and senior programs. (It's shorter for novice and intermediate/pre-novice.)
Spiral
Usally performed by Ladies, extending the free leg behind or in front of them as they glide fluidly accross the ice.
Spiral Sequence
Usally performed by Ladies, is a series of spiral possitions exsicuted while making a spisific pattern in the rink.
You might want to clarify that ladies are required to do spiral sequences, whereas men have the choice to perform spirals as connecting moves.
Correct spelling: executed, specific
Stroking
Strides using both inside edges to gain speed.
There are various methods and patterns used for stroking, some use outside in addition to or instead of inside edges.
Total Element Score ~ TES
The judged scores combinde for all elements performed in a program.
More accurately, "The base values of the all the elements combined with their (positive or negative) grades of execution"
Twizzles
Pairs performing a series of turns on a single blade simontaniusly side by side but not touching.
What a twizzle actually is would better be defined as something like "Quick traveling turns performed on one blade."
Then you could also mention that ice dance teams (not pairs) are required to perform sequences of synchronized twizzles side by side by not touching.
(Single or pair skaters also include them in step sequences, a dance teams and pairs often have one partner perform a twizzle while in some variation of hand hold touching the other partner.)