well it needs an app to be used and that may take some time to become ready for users and be friendly. you can take a look at litecoin, it already has SegWit and LN is not yet ready for it last time i checked. so your dates may be extended a little.
although like i said before LTC has made things faster for BTC since everything is nearly the same, so maybe the timing becomes faster.

and according to the website https://lightning.network/:
"Capable of millions to billions of transactions per second across the network"

Scaling issue is entirely political/business/economic/social.

Technically, there is not a problem.  Dash just released a roadmap with 400MB blocks.  Chew on that.

So does anybody know if LN will be implemented in the Segwit?   This will affect the price significantly.

spammers are always gonna spam
1. they will avoid using segwit transaction types and avoid using the LN side service.

2. segwit does not address spammers. it needs to stop letting 1tx have 100kb of space allowed. it needs to stop allowing more than a few thousand sigops per tx.(needs dropping lower than 4k (16k cludgy maths)

segwit is cludgy and doesnt fix the issues it promises. it stupidly HOPES malicious people will use segwit keypairs/ln.. yet psychologically spammers wont.

3. LN is not going to be useful as a 'throw all your hoard in' service or a 'lock your funds forever' service.. it will end up with channels opening and closing every fortnight on average holding just enough funds for them couple weeks average spending, which means that onchain blocks will still get filled, due to all the open/closing sessions

4. as for the utility of LN. it all depends on channel connections(routes) which is the game theory of "the 6 degree's of separation". this involves people having to have more than one 'channel' funded and accepted as a route on certain LN dns seeds.

do not accept LN as the ultimate solution of utopia. atleast research and understand its niche and limitations.. not just the reddit false adverts of utopia

Luke Dash Jr.?  I didn't think he'd go in for such things

Surely the economic incentive to develop such a solution for bitcoin would be greater but the testing would need to be more extensive too. Lighting network has great capabilities but doesn't sound like something that could be implemented on the near future due to the lack of extensive testing. SegWit could probably help ease things out a bit but overall the congregation largely depends on demand.

I hope that this article is true. Once again we are witnessing a long queue of unconfirmed transactions (around 30,000 as of now), and delays in confirmations. My friend told me that yesterday he paid 200 Sat/Byte as fee for a transaction and it took 2 hours to get the three confirmations.

It is really true that bitcoin will have a lightning network soon. Considering that it had a fork just a few weeks ago and it will have one again soon, probably bitcoin will solve the slow transaction problem that it got now. The current fork might still not be activated but like what OP said, transaction might get lightning fast by August 23, and I hope that it will really solve the problem at hand.

This is discussed in the past, after the activation of SegWit, bitcoin will undergo the Lightning Network. Yes it is good, but as far as I know, this will be having an effect to miners. How about them? Did they agree about this? I don't know if that is the thing, but I think that is how I understand the matter. Sorry if I'm wrong though.