You can buy 14lots at the open market and 0.28lot (28 shares) from the odd lot market if you really want to. Why so hassle about? 1400 cannot? need 1428? 14 lots will do the job already. Odd lots generally are trading a slight discount compared to open market price.

Theory is theory when come to practical side, can twist or rounded up a bit lah. So in your example case, buying a 14 lots will do fine for the DCA already.

No, generally for stock market trading as remiser won't have so easy time to do it for you.
There are some online trading portal that allow you key in a particular order for a period of time, but not amount of money.
Eg. you want to buy ABC stock at Rm1.00 but it currently trade at Rm1.05. You can instruct the site to auto-key in for you everyday until a specified period until it matches.

UT, can, as one can do standing instruction to invest on every month at fixed amount.

I really don't believe in strict following of the Dollar Cost Averaging method because during a volatile period in the stock market, you'll probably end up paying too much for a counter when it is peaking and not keeping the cash until the price goes down a little. So if you are using that method, try not to keep to strictly to it and be flexible as the market to get the best bang for your buck.

And since you're new, don't go for online brokers for now, instead try to get a normal broker/remisier where you can call them and chat with them. Since most broking firms has their own online viewing systems, you won't be left behind in terms of market updates. Learn from them how the market ticks, how the brokers themselves view the current conditions, change brokers when you aren't happy or get a different opinion. Only after you get the hang of the market, then only go solo for your online trading.