If you have recently established the hotel then I must say you should invest in SMM as well as SEM too. I'll give you the initial boost you will require. However, SEO and SMO are important for your business to have long term gains. You'll start getting amazing results once your reach expands in your target audience. SEO and SMO are never ending process because you'll have to keep up with your competitors as well. You can keep investing on SEM and SMM in particular timings according to your location to make as much business as possible. You can let me know if you'll require any of the services mentioned above.
I'd suggest for you to explore your options through social media platforms. Take advantage of the free registrations and make sure to aim for your target market.
You can do peer to peer marketing, join on review forums. Also review aggregator websites like Expedia may help your cause. Also you may list it over at AirBnB and like =wise. Networking events near your place or online may help. Joining network such as "https://www.bornbrio.com/" may help to further your cause. Services and shared platform will give you a better audience to persuade.
As a small hotel, it's critical to start getting your brand known and the easiest way to start doing this is with social media. SEO is also critical to compliment your SMM efforts but will take longer due to the speed that Google operates at especially for new sites. Have a read over this article on Six Ways To Raise Brand Awareness For Your Hotels (https://smartfinder.asia/six-ways-to-raise-brand-awareness-for-your-hotels/) to give yourself some ideas to get started. Don't waste your dollars on Google Adwords. FB ads are much more powerful and less expensive. Keep researching and look at what your main competitors are dong well and do that. Good luck!